When it comes to expressing strong feelings of love and craving, there are several synonyms available to use instead of "love desperately." For instance, you could say you "yearn for" or "long for" your loved one. Alternatively, you could use "infatuated with," "madly in love with," or "obsessed with." Additionally, you might say you "can't live without" your beloved, or that you're "deeply smitten" with them. Some other synonyms for "love desperately" include "hopelessly devoted to," "passionately in love with," and "head over heels for." Regardless of which word or phrase you choose, just remember to express your love and emotions honestly.